SOME PROPERTIES OF TENSOR CENTRE OF GROUPS

- Journal title : Journal of the Korean Mathematical Society
- Volume 46, Issue 2, 2009, pp.249-256
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2009.46.2.249

Title & Authors

SOME PROPERTIES OF TENSOR CENTRE OF GROUPS

Moghaddam, Mohammad Reza R.; Niroomand, Payman; Jafari, S. Hadi;

Moghaddam, Mohammad Reza R.; Niroomand, Payman; Jafari, S. Hadi;

Abstract

Let be the tensor square of a group G. The set of all elements a in G such that , for all g in G, is called the tensor centre of G and denoted by (G). In this paper some properties of the tensor centre of G are obtained and the capability of the pair of groups (G, G') is determined. Finally, the structure of (G) will be described, where (G) is the kernel of the map : .

Keywords

non-abelian tensor square;tensor centre;relative central extension;capable group;

Language

English

Cited by

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